• 제목/요약/키워드: T-point

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EXISTENCE OF POSITIVE PERIODIC SOLUTIONS OF FIRST-ORDER NEUTRAL DIFFERENTIAL EQUATIONS

  • Rezaiguia, Ali;Ardjouni, Abdelouaheb;Djoudi, Ahcene
    • 호남수학학술지
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    • 제40권1호
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    • pp.1-11
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    • 2018
  • We use Krasnoselskii's fixed point theorem to show that the neutral differential equation $$\frac{d}{dt}[x(t)-a(t)x(\tau(t))]+p(t)x(t)+q(t)x(\tau(t))=0,\;t{\geq}t_0$$, has a positive periodic solution. Some examples are also given to illustrate our results. The results obtained here extend the work of Olach [13].

변곡점법에 의한 신속 압밀시험 (Rapid Consolidation Test Using Inflection Point Method)

  • 민덕기;황광모;최규환
    • 한국지반공학회논문집
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    • 제18권4호
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    • pp.85-93
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    • 2002
  • 본 연구에서는 Cour(1971)가 제안한 변곡점법(Inflection Point Method)을 이용하여 압밀계수를 예측하기 위한 새로운 방법을 소개하였다. 여기서, 변곡점은 압밀도(U)와 시간계수(log T) 관계곡선의 변곡점 중에서 압밀도($U_i$)가 70.03% 일 때의 시간계수 $T_i$=0.405에 상응하는 점이다. 제안된 변곡점법에 의한 신속한 압밀시험 방법에서 각 단계별 하중재하는 변곡점을 확인한 직후에 이루어지므로 압밀시험에 소요되는 시간을 단축시킬 수 있으며, 압밀계수를 빠른 시간 내에 쉽게 구할 수 있다. 이 신속한 압밀시험법에 소요되는 시간은 기존의 압밀시험의 경우 1주 또는, 2주의 기간이 소요되는데 비하여 0.5시간~9시간이 소요되므로 압밀시험을 보다 신속히 완료할 수 있다. 본 연구에서는 보다 정규화된 결과를 얻고자 침강장치를 고안하였으며, 그 결과의 분석에서 비 교란시료의 압밀정수들과 잘 부합하는 것으로 나타났다.

THE EXISTENCE OF TWO POSITIVE SOLUTIONS FOR $m$-POINT BOUNDARY VALUE PROBLEM WITH SIGN CHANGING NONLINEARITY

  • Liu, Jian
    • Journal of applied mathematics & informatics
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    • 제30권3_4호
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    • pp.517-529
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    • 2012
  • In this paper, the existence theorem of two positive solutions is established for nonlinear m-point boundary value problem by using an inequality for the following third-order differential equations $$({\phi}(u^{\prime\prime}))^{\prime}+a(t)f(t,u(t))=0,\;t{\in}(0,1)$$, $${\phi}(u^{\prime\prime}(0))=\sum^{m-2}_{i=1}a_i{\phi}(u^{\prime\prime}({\xi}_i)),\;u^{\prime}(1)=0,\;u(0)=\sum^{m-2}_{i=1}b_iu({\xi}_i)$$, where ${\phi}:R{\rightarrow}R$ is an increasing homeomorphism and homomorphism and $\phi(0)=0$. The nonlinear term f may change sign, as an application, an example to demonstrate our results is given.

오염부하량 산정을 위한 GWLF 모형의 적용 (Application of GWLF Model to Predict Watershed Pollutant Loadings)

  • 장중석;이남호
    • 농촌계획
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    • 제7권1호
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    • pp.77-88
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    • 2001
  • In order to evaluate the applicability of GWLF model which can efficiently estimate non-point and point source pollutant loadings in rural watershed including urban district, the model was applied to an experimental watershed. The model was calibrated using observed data such as daily runoffs, sediment yields, T-N, and T-P. Simulated daily runoffs and sediment yields by the model using calibrated parameters were in food agreement with the observed data. There were difference between the simulated and observed nutrient loading which was considered resonable. The simulated results by the model showed that T-N, T-P and sediment yields were dependent on the amount of stream runoff discharge and land use. GWLF model is believed to applicable to estimate amount of pollutant loading of non-point source pollution for the water qualify control of agricultural watersheds.

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MULTI-POINT BOUNDARY VALUE PROBLEMS FOR ONE-DIMENSIONAL p-LAPLACIAN AT RESONANCE

  • Wang Youyu;Zhang Guosheng;Ge Weigao
    • Journal of applied mathematics & informatics
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    • 제22권1_2호
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    • pp.361-372
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    • 2006
  • In this paper, we consider the multi-point boundary value problems for one-dimensional p-Laplacian at resonance: $({\phi}_p(x'(t)))'=f(t,x(t),x'(t))$, subject to the boundary value conditions: ${\phi}_p(x'(0))={\sum}^{n-2}_{i=1}{\alpha}_i{\phi}_p(x'({\epsilon}i)),\;{\phi}_p(x'(1))={\sum}^{m-2}_{i=1}{\beta}_j{\phi}_p(x'({\eta}_j))$ where ${\phi}_p(s)=/s/^{p-2}s,p>1,\;{\alpha}_i(1,{\le}i{\le}n-2){\in}R,{\beta}_j(1{\le}j{\le}m-2){\in}R,0<{\epsilon}_1<{\epsilon}_2<...<{\epsilon}_{n-2}1,\;0<{\eta}1<{\eta}2<...<{\eta}_{m-2}<1$, By applying the extension of Mawhin's continuation theorem, we prove the existence of at least one solution. Our result is new.

CONTINUITY OF APPROXIMATE POINT SPECTRUM ON THE ALGEBRA B(X)

  • Sanchez-Perales, Salvador;Cruz-Barriguete, Victor A.
    • 대한수학회논문집
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    • 제28권3호
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    • pp.487-500
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    • 2013
  • In this paper we provide a brief introduction to the continuity of approximate point spectrum on the algebra B(X), using basic properties of Fredholm operators and the SVEP condition. Also, we give an example showing that in general it not holds that if the spectrum is continuous an operator T, then for each ${\lambda}{\in}{\sigma}_{s-F}(T){\setminus}\overline{{\rho}^{\pm}_{s-F}(T)}$ and ${\in}$ > 0, the ball $B({\lambda},{\in})$ contains a component of ${\sigma}_{s-F}(T)$, contrary to what has been announced in [J. B. Conway and B. B. Morrel, Operators that are points of spectral continuity II, Integral Equations Operator Theory 4 (1981), 459-503] page 462.

DSP 기반 플랫폼을 이용한 OFDM DVB-T 반송파 복원부의 소프트웨어 설계 방법 (Software Design Methodology of OFDM DVB-T Receiver using DSP-based Platform)

  • 신정헌;유형석;윤주현;박찬섭;정해주;조준동
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2003년도 통신소사이어티 추계학술대회논문집
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    • pp.55-59
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    • 2003
  • In this paper, we estimate the performance requirements of general-purpose DSP for Carrier Recovery of OFDM DVB-T receiver. Firstly, we transported the designed fixed-point OFDM DVB-T model to a floating-point software model written in C. Then, we measured the number of instruction cycles required for operation of Carrier Recovery in time. We use SignalMaster$\^$TM/ DSP platform of LYRtech Inc. as a environment of estimation, and Simulink$\^$TM/ as a graphical interface, Code Composer StudioTM of TI as profiler and compiler, and SPW$\^$TM/ for presenting functional reliability and comparing the performance distortion with fixed-point model. As a result, we show the required number of DSPs in our DSP-based system, and introduce the need of Multi-DSP-based system.

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FIXED POINT THEOREMS FOR (𝛼, p)-NONEXPANSIVE MAPPINGS IN CAT(0) SPACES

  • Asadi, Mehdi;Ghasemzadehdibagi, Shahrokh;Haghayeghi, Somayeh;Ahmad, Naeem
    • Nonlinear Functional Analysis and Applications
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    • 제26권5호
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    • pp.1045-1057
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    • 2021
  • We present some fixed point theorems for ((𝛼1, 𝛼2, ⋯, 𝛼n), p)-nonexpansive mappings in CAT(0) spaces. Moreover the properties of the fixed points set are studied. Many of them have been derived from new condition on these mappings, which makes the nonexpansive mapping T𝛼 := 𝛼1T ⊕ 𝛼2T2 ⊕ ⋯ ⊕ 𝛼nTn.

임의 절단된 자료의 평균잔여수명 검정에 관한 연구 (A Study on the Test of Mean Residual Life with Random Censored Sample)

  • 김재주;이경원;나명환
    • 품질경영학회지
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    • 제25권3호
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    • pp.11-21
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    • 1997
  • The mean residual life(MRL) function gives the expected remaining life of a item at age t. In particular F is said to be an increasing intially then decreasing MRL(IDMRL) distribution if there exists a turing point $t^*\ge0$ such that m(s)$\le$ m(t) for 0$$\le s$\le$ t $t^*$, m(s)$\ge$ m(t) for $t^*\le$ s$\le$ t. If the preceding inequality is reversed, F is said to be a decreasing initially then increasing MRL(DIMRL) distribution. Hawkins, et al.(1992) proposed test of H0 : F is exponential versus$H_1$: F is IDMRL, and $H_0$ versus $H_1$' : F is DIMRL when turning point is unknown. Their test is based on a complete random sample $X_1$, …, $X_n$ from F. In this paper, we generalized Hawkins-Kochar-Loader test to random censored data.

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